For each of the four vector Fields sketched below Which of t

For each of the four vector Fields sketched below.... Which of them have nonzero divergence somewhere? (If the divergence is nonzero only at isolated points, which point(s) would that be?) Which of the following Fields have nonzero curl somewhere? (If the curl is nonzero only at isolated points, which point(s) would that be?) (A brief explanation of your answers below each figure would be welcome)

Solution

C and D have non zero divergence as they don\'t cancel the overall field as the total field is getting away or diverged. It is not converging to make the effect zero. For this the divergence os non zero everywhere. A and B have non zero curl as we can see the vector field curling or rotating or moving to interact there would be curl present.